• Shuffle
Toggle On
Toggle Off
• Alphabetize
Toggle On
Toggle Off
• Front First
Toggle On
Toggle Off
• Both Sides
Toggle On
Toggle Off
Toggle On
Toggle Off
Front

### How to study your flashcards.

Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key

Up/Down arrow keys: Flip the card between the front and back.down keyup key

H key: Show hint (3rd side).h key

A key: Read text to speech.a key

Play button

Play button

Progress

1/16

Click to flip

### 16 Cards in this Set

• Front
• Back
 Heron 1. Where from? 2. What were his two works called? 3. What did he find out? 1. an Egyptian with Greek training 2. Geometric (problems on mensuration) and Mechanical (descriptsion of ingenious mechanical devices) 3. A method of finding a sqrt approximation of a nonsquare interger Heron's method of finding square root approximation. If n=ab, then sqrt(n) is approximated by (a+b)/2, then the approximation improving with the closeness of a tob. a(1) = first guess a(2) = [a(1)+n/a(1)]/2 a(3) = [a(2)+n/a(2)]/2 Use Heron's method of sqrt approxmation to find the square root of 54. 7.35 What are the three stages in historical development of algebraic notation ? 1. Rhetorical Algebra 2. Synocopated Algebra 3. Symbolic Algebra Rhetorical Algebra Solution of a problem written without abbreviations of symbols Syncopated Algebra Abbreviations are adopted for some of the more frequrently reoccuring quantities and operations Symbolic Algebra Solutions appear largely in a mathematical shorthand made up of symbols having little apparent connection with teh entities they represent. Three works of Diophantus 1. Arithmetica 2. On Polygonal Numbers 3. Porisms Diophantine Problems Intermediate algebraic problems in which one must find only the rational solutions How do you solve a Diophantine Equation? a is similar to b (mod m) if and only if a/m, b/m have the same remainder What work did Ptolemy Soltec write? "Al-majest" State Ptolmey's Theorem In a cyclic quadrilateral, the product of the diagonals is equal to the sum of the prodcuts of the two pairs of opposite sides What is Ptolemy's method of square root? Refer to book, pg 177 What are the two types of Liberal Arts? 1. Quadrivium 2. Trivium What are the four Quadrivium? 1. Arithmetic 2. Music 3. Geometry 4. Astronomy What are the Three Trivium? 1. Logic 2. Grammar 3. Rhetoric